What is the Least Common Multiple of 38708 and 38720?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 38708 and 38720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38708 and 38720, than apply into the LCM equation.

GCF(38708,38720) = 4
LCM(38708,38720) = ( 38708 × 38720) / 4
LCM(38708,38720) = 1498773760 / 4
LCM(38708,38720) = 374693440

Least Common Multiple (LCM) of 38708 and 38720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38708 and 38720. First we will calculate the prime factors of 38708 and 38720.

Prime Factorization of 38708

Prime Factorization of 38720

Now multiplying the highest exponent prime factors to calculate the LCM of 38708 and 38720.

LCM(38708,38720) = 2⁶ × 9677¹ × 5¹ × 11²
LCM(38708,38720) = 374693440